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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-41/8, b>=a > For fixed z and a=-41/8, b=-13/8





http://functions.wolfram.com/07.23.03.b8ue.01









  


  








Input Form





Hypergeometric2F1[-(41/8), -(13/8), 15/4, z] == (4 2^(3/4) (6970 - 135915 z + 77308785 z^2 + 192806002 z^3 + 70570044 z^4 - 2072007 z^5 + 219849 z^6 - 13680 z^7 + (1/Sqrt[1 - z]) (2 (-3485 + 69700 z + 36523315 z^2 + 38239836 z^3 - 58077351 z^4 - 18113004 z^5 + 1506225 z^6 - 154356 z^7 + 9120 z^8))))/ (601690005 (1 + Sqrt[1 - z])^(3/4) z^2)








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02